\(x^2-2xy+y^2-z^2\)

\(=\left(x-y\right)^2-z^2\)

\(=\left(x-y-z\right)\left(x-y+z\right)\)

\(x^2-2xy+y^2-z^2\)

\(=\left(x^2-xy\right)+\left(x-y\right)\)

\(=x\left(x-y\right)+\left(x-y\right)\)

\(=\left(x-y\right)\left(x+1\right)\)

(x²-2xy+y²⁾-z²

<=>(x-y)²-z²

<=>(x-y-z)(x-y+z)

\(x^2-4y^2-2x+1=\left(x-1\right)^2-4y^2=\left(x-1-2y\right)\left(x-1+2y\right)\)

giúp mình câu cuối với

x( a - b ) - a + b = x( a - b ) - ( a - b ) = ( a - b )( x - 1 )

a( x - y ) - x + y = a( x - y ) - ( x - y ) = ( x - y )( a - 1 )

mấy ý kia không sửa được nữa nên nghỉ:)

x^2-x-y^2-y

=(x-y)(x+y)-(x+y)

=(x+y)(x-y-1)

b,=(x-y)^2-z^2

=(x-y-z)(x-y+z)

Các câu còn lại lm tương tự.....

h.trang à

\(x^2-x-y^2-y\)

\(=\left(x-y\right)\left(x+y\right)-\left(x+y\right)\)

\(=\left(x+y\right)\left(x-y-1\right)\)

\(x^2-2xy+y^2-z^2\)

\(=\left(x-y\right)^2-z^2\)

\(=\left(x-y-z\right)\left(x-y+z\right)\)

\(5x+5y+ax-ay\)

\(=5\left(x-y\right)+a\left(x-y\right)\)

\(=\left(x-y\right)\left(5+a\right)\)

\(x-y-a\left(x-y\right)\)

\(=\left(x-y\right)-a\left(x-y\right)\)

\(=\left(x-y\right)\left(1-a\right)\)

\(x-y-a\left(x-y\right)\)

\(=\left(x-y\right)-a\left(x-y\right)\)

\(=\left(1-a\right).\left(x-y\right)\)

x - y - a ( x - y )

= ( x - y ) - a ( x - y )

= ( 1 - a ) ( x -  y)

x²-x-y²-y=(x-y)(x+y)-(x+y)=(x+y)(x-y-1)

\(x^2-x-y^2-y=x^2-y^2-\left(x+y\right)=\left(x-y\right)\left(x+y\right)-\left(x+y\right)=\left(x+y\right)\left(x-y-1\right)\)

\(x^2-x-y^2-y\)

\(=x^2-y^2-\left(x+y\right)\)

\(=\left(x-y\right)\left(x+y\right)-\left(x+y\right)\)

\(=\left(x+y\right)\left(x-y-1\right)\)

x^2 - xy + x - y = x(x - y) + (x - y) = (x - y)(x + 1)

x²y-xy²-3x+3y

=(x²y-xy²)-(3x-3y)

=xy(x-y)-3(x-y)

=(x-y).(xy-3)